Sine and Cosine Ratios
For a given angle <A with a measure of with a measure of 0 degrees, tge sine of <A, or sine 0, is the ratio if the legnth of the leg opposite A to the length of the hypotenuse in a right triangle with A as one vertex.
The cosine of <A, or cos 0, is the ratio of the length of the leg adjacent to A to the length of the hypotenuse.
SOH-CAH-TOA Some Old Hippie - Caught Another Hippie - Tripping On Asphalt
Sin= opposite over hypotenuse
Tan= opposite over adjacent
Cos= adjacent over hypotenuse
Theorem 10.2 Cosine Ratio: The cosine of <A or cos, is the ratio of the length of the leg adjacent to A to the length of the hypotenuse, or cos= Adjacent over hypotenuse
Identify tan= Sin over cos
Identify (sin)^2 + (cos)^2 =1
SINE-in a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.
COSINE- in a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
An identity is an equation that is true for all values of the variables in the equation for which all terms in the
equation for which all terms in the equation are defined. For example, the equation (a+b)(a-b) = a2 -b2 is an identity,
because it is true for all values of a and b.
Law of sines- for any triangle ABC with sides a,b, and c: SinA = SinB = SinC
a b c
solutions Label the hypotenuse and the oppossite and adjacent legs for the given angel . Since the height is the opposite side use the sine ratio !!
Sine and Cosine Ratios
For a given angle <A with a measure of with a measure of 0 degrees, tge sine of <A, or sine 0, is the ratio if the legnth of the leg opposite A to the length of the hypotenuse in a right triangle with A as one vertex.
The cosine of <A, or cos 0, is the ratio of the length of the leg adjacent to A to the length of the hypotenuse.
SOH-CAH-TOA
Some Old Hippie - Caught Another Hippie - Tripping On Asphalt
Sin= opposite over hypotenuse
Tan= opposite over adjacent
Cos= adjacent over hypotenuse
Theorem 10.2 Cosine Ratio: The cosine of <A or cos, is the ratio of the length of the leg adjacent to A to the length of the hypotenuse, or cos= Adjacent over hypotenuse
Identify tan= Sin over cos
Identify (sin)^2 + (cos)^2 =1
SINE-in a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.
COSINE- in a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
An identity is an equation that is true for all values of the variables in the equation for which all terms in the
equation for which all terms in the equation are defined. For example, the equation (a+b)(a-b) = a2 -b2 is an identity,
because it is true for all values of a and b.
Law of sines- for any triangle ABC with sides a,b, and c: SinA = SinB = SinC
a b c
solutions Label the hypotenuse and the oppossite and adjacent legs for the given angel . Since the height is the opposite side use the sine ratio !!